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Last modified
8/20/2024 2:03:13 PM
Creation date
7/10/2023 9:55:28 AM
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Template:
Official Documents
Official Document Type
Agreement
Approved Date
01/26/1999
Control Number
1999-029
Entity Name
Florida Institute of Technology
Subject
Agreement /IRC & FIT, Melbourne. Calibration & Application of a Three
Dimensional Numerical Model for PEP Reef Project
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db <br />io <br />Appendix A: Description of the Environmental Fluid Dynamics Code <br />A.1 Nearshore Wave -Induced Currents and Sediment Transport <br />Extensions <br />EFDC includes a number of extensions for simulation of nea.rshore wave -induced <br />currents and noncohesive sediment transport (Zarillo and Surak, 1995). The extensions <br />include: a wave -current boundary layer formulation similar to that of Grant and Madsen <br />(1986); modifications of the hydrodynamic model's momentum equations to renrecPnt <br />wave, period averaged tulenan mean quantities; the inclusion of the three-dimensional <br />wave induced radiation or Reynold's stresses in the momentum equations, and <br />modifications of the velocity fields in the transport equations to include advective <br />transport by the wave induced Stoke's drift. High frequency surface wave fields are <br />provided by an external wave refraction -diffraction (Zarillo and Surak, 1996). <br />A.2 Hydrodynamics, Salinity, and Temperature Transport <br />The physics of the EFDC model and many aspects of the computational scheme are <br />equivalent to the widely used Blumberg- Mellor model (Blumberg & Mellor, 1987) and <br />U. S. Army Corps of Engineers' CH3D or Chesapeake Bay model (Johnson, et al, 1993). <br />The EFDC model solves the three-dimensional, vertically hydrostatic, free surface, <br />turbulent averaged equations of motions for a variable density fluid. Dynamically <br />coupled transport equations for turbulent kinetic energy, turbulent length scale, salinity <br />and temperature are also solved. The two turbulence parameter transport equations <br />implement the Mellor-Yamda level 2.5 turbulence closure scheme (Mellor & Yamada, <br />1982; Galperin et al, 1988). The EFDC model uses a stretched or sigma vertical <br />coordinate and Cartesian, or curvilinear orthogonal horizontal coordinates. The <br />numerical scheme employed in EFDC to solve the equations of motion uses second order <br />accurate spatial finite differencing on a staggered or C grid. The model's time integration <br />employs a second order accurate three -time level, finite difference scheme with an <br />internal-external mode splitting procedure to separate the internal shear, or baroclinic <br />mode, from the external free surface gravity wave, or barotropic mode. The external <br />mode solution is semi -implicit, and simultaneously computes the two-dimensional <br />surface elevation field by a preconditioned conjugate gradient procedure. The external <br />tnhitinn is competed by the calculation of the depth average barotropic velocities using <br />the new surface elevation field. The model's semi -implicit external solution allows large <br />time steps which are constrained only by the stability criteria of the explicit central <br />difference or high order upwind advection scheme (Smolarkiewicz and Margolin, 1993) <br />used for the nonlinear accelerations. <br />Horizontal boundary conditions for the external mode solution include options for <br />simultaneously specifying the surface elevation only, the characteristic of an incoming <br />wave (Bennett & McIntosh, 1982), free radiation of an outgoing wave (Bennett, 1976; <br />Blumberg & Kantha, 1985) or the normal volumetric flux on arbitrary portions of the <br />boundary. The EFDC model's internal momentum equation solution, at the same time <br />
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